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Finding the Fourth Proportional to 135,293.76, 202,928.16 and 41,790.24

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Solution

The fourth proportional to 135,293.76, 202,928.16 and 41,790.24 is: 62,681.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,293.76 : 202,928.16 = 41,790.24 : x
  2. Step 2: Convert to fraction form
    135,293.76/202,928.16 = 41,790.24/x
  3. Step 3: Cross multiply
    135,293.76x = 202,928.16 × 41,790.24
  4. Step 4: Simplify right side
    135,293.76x = 8,480,416,509.16
  5. Step 5: Solve for x
    x = 8,480,416,509.16/135,293.76
  6. Step 6: Final answer
    x = 62,681.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.